The tweaking depends on exactly what the problem is. The little tit (god I wish I had a better word for it...) missing or not catching the slide is the more the result of the problem then the actual problem. With the slide off the frame, move the slide latch and see if there is much play in it. I am fairly sure there is, so what your going to do is push the latch up, place a small, very thin shim between the latch and the frame and gentle tap the "tit" a bit towards the frame (this is tweaking). It will not take much and the best tool is a small nail set or pin punch and a small hammer. You can lay the pistol on a bench or vise (padded) of you want, but use care and don't over do it.
As with anything, if your not comfortable doing this, don't! It may work itself in or you can send it to Taurus. Personally I would give it a good 250-500 rds or so before doing anything.